EXAMPLE 2.1. Constituent balance of milk
Skim milk is prepared by the removal of some of the fat from whole milk. This skim milk is found to contain 90.5% water, 3.5% protein, 5.1% carbohydrate, 0.1% fat and 0.8% ash. If the original milk contained 4.5% fat, calculate its composition assuming that fat only was removed to make the skim milk and that there are no losses in processing.
Basis: 100 kg of skim milk. This contains, therefore, 0.1 kg of fat. Let the fat which was removed from it to make skim milk be x kg.
Total original fat = (x + 0.1 ) kg
Total original mass = (100 + x) kg
and as it is known that the original fat content was 4.5% so
x + 0.1
= 0.045
100 + x
whence x + 0.1 = 0.045(100 + x)
x =
4.6 kg
So the composition of the whole milk is then
fat = 4.5% ,
water =
90.5
104.6
= 86.5 %
protein =
3.5
104.6
= 3.3 %
carbohydrate =
5.1
104.6
= 4.9%
and ash =
0.8
104.6
= 0.8%
EXAMPLE 2.1. Constituent balance of milkSkim milk is prepared by the removal of some of the fat from whole milk. This skim milk is found to contain 90.5% water, 3.5% protein, 5.1% carbohydrate, 0.1% fat and 0.8% ash. If the original milk contained 4.5% fat, calculate its composition assuming that fat only was removed to make the skim milk and that there are no losses in processing.Basis: 100 kg of skim milk. This contains, therefore, 0.1 kg of fat. Let the fat which was removed from it to make skim milk be x kg.Total original fat = (x + 0.1 ) kg Total original mass = (100 + x) kgand as it is known that the original fat content was 4.5% so x + 0.1= 0.045100 + xwhence x + 0.1 = 0.045(100 + x) x =4.6 kgSo the composition of the whole milk is then fat = 4.5% , water = 90.5104.6= 86.5 % protein = 3.5104.6= 3.3 % carbohydrate = 5.1104.6= 4.9% and ash = 0.8104.6= 0.8%
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